





"""simple docstring"""


from __future__ import annotations






class 							lowercase__			:

			"""simple docstring"""







			def __init__(      self						,   _A    ):






									'''simple docstring'''







									UpperCamelCase				:		Union[str, Any]				   =			TypeError(
									    """Matrices must be formed from a list of zero or more lists containing at """
									    """least one and the same number of values, each of which must be of type """
									    """int or float."""    )
									if len(__SCREAMING_SNAKE_CASE    ) != 0:
															UpperCamelCase				:		Dict				   =			len(rows[0]    )
															if cols == 0:
																					raise error
															for row in rows:
																					if len(__SCREAMING_SNAKE_CASE    ) != cols:
																											raise error
																					for value in row:
																											if not isinstance(__SCREAMING_SNAKE_CASE						,   (int, float)    ):
																																	raise error
															UpperCamelCase				:		int				   =			rows
									else:
															UpperCamelCase				:		Optional[int]				   =			[]







			def   _a      (      self    ):






									'''simple docstring'''







									return [[row[i] for row in self.rows] for i in range(len(self.rows[0]    )    )]







			@property
			def   _a      (      self    ):






									'''simple docstring'''







									return len(self.rows    )







			@property
			def   _a      (      self    ):






									'''simple docstring'''







									return len(self.rows[0]    )







			@property
			def   _a      (      self    ):






									'''simple docstring'''







									return (self.num_rows, self.num_columns)







			@property
			def   _a      (      self    ):






									'''simple docstring'''







									return self.order[0] == self.order[1]







			def   _a      (      self    ):






									'''simple docstring'''







									UpperCamelCase				:		Tuple				   =			[
									    [0 if column_num != row_num else 1 for column_num in range(self.num_rows    )]
									    for row_num in range(self.num_rows    )
									]
									return Matrix(__SCREAMING_SNAKE_CASE    )







			def   _a      (      self    ):






									'''simple docstring'''







									if not self.is_square:
															return 0
									if self.order == (0, 0):
															return 1
									if self.order == (1, 1):
															return int(self.rows[0][0]    )
									if self.order == (2, 2):
															return int(
															    (self.rows[0][0] * self.rows[1][1])
															    - (self.rows[0][1] * self.rows[1][0])    )
									else:
															return sum(
															    self.rows[0][column] * self.cofactors().rows[0][column]
															    for column in range(self.num_columns    )    )







			def   _a      (      self    ):






									'''simple docstring'''







									return bool(self.determinant()    )







			def   _a      (      self						,   _A						,   _A    ):






									'''simple docstring'''







									UpperCamelCase				:		Optional[Any]				   =			[
									    [
									        self.rows[other_row][other_column]
									        for other_column in range(self.num_columns    )
									        if other_column != column
									    ]
									    for other_row in range(self.num_rows    )
									    if other_row != row
									]
									return Matrix(__SCREAMING_SNAKE_CASE    ).determinant()







			def   _a      (      self						,   _A						,   _A    ):






									'''simple docstring'''







									if (row + column) % 2 == 0:
															return self.get_minor(__SCREAMING_SNAKE_CASE						,   __SCREAMING_SNAKE_CASE    )
									return -1 * self.get_minor(__SCREAMING_SNAKE_CASE						,   __SCREAMING_SNAKE_CASE    )







			def   _a      (      self    ):






									'''simple docstring'''







									return Matrix(
									    [
									        [self.get_minor(__SCREAMING_SNAKE_CASE						,   __SCREAMING_SNAKE_CASE    ) for column in range(self.num_columns    )]
									        for row in range(self.num_rows    )
									    ]    )







			def   _a      (      self    ):






									'''simple docstring'''







									return Matrix(
									    [
									        [
									            self.minors().rows[row][column]
									            if (row + column) % 2 == 0
									            else self.minors().rows[row][column] * -1
									            for column in range(self.minors().num_columns    )
									        ]
									        for row in range(self.minors().num_rows    )
									    ]    )







			def   _a      (      self    ):






									'''simple docstring'''







									UpperCamelCase				:		Dict				   =			[
									    [self.cofactors().rows[column][row] for column in range(self.num_columns    )]
									    for row in range(self.num_rows    )
									]
									return Matrix(__SCREAMING_SNAKE_CASE    )







			def   _a      (      self    ):






									'''simple docstring'''







									UpperCamelCase				:		List[str]				   =			self.determinant()
									if not determinant:
															raise TypeError("""Only matrices with a non-zero determinant have an inverse"""    )
									return self.adjugate() * (1 / determinant)







			def __repr__(      self    ):






									'''simple docstring'''







									return str(self.rows    )







			def __str__(      self    ):






									'''simple docstring'''







									if self.num_rows == 0:
															return "[]"
									if self.num_rows == 1:
															return "[[" + ". ".join(str(self.rows[0]    )    ) + "]]"
									return (
									    "["
									    + "\n ".join(
									        [
									            """[""" + """. """.join([str(__SCREAMING_SNAKE_CASE    ) for value in row]    ) + """.]"""
									            for row in self.rows
									        ]    )
									    + "]"
									)







			def   _a      (      self						,   _A						,   _A = None    ):






									'''simple docstring'''







									UpperCamelCase				:		Dict				   =			TypeError("""Row must be a list containing all ints and/or floats"""    )
									if not isinstance(__SCREAMING_SNAKE_CASE						,   __SCREAMING_SNAKE_CASE    ):
															raise type_error
									for value in row:
															if not isinstance(__SCREAMING_SNAKE_CASE						,   (int, float)    ):
																					raise type_error
									if len(__SCREAMING_SNAKE_CASE    ) != self.num_columns:
															raise ValueError(
															    """Row must be equal in length to the other rows in the matrix"""    )
									if position is None:
															self.rows.append(__SCREAMING_SNAKE_CASE    )
									else:
															UpperCamelCase				:		Optional[Any]				   =			self.rows[0:position] + [row] + self.rows[position:]







			def   _a      (      self						,   _A						,   _A = None    ):






									'''simple docstring'''







									UpperCamelCase				:		Optional[int]				   =			TypeError(
									    """Column must be a list containing all ints and/or floats"""    )
									if not isinstance(__SCREAMING_SNAKE_CASE						,   __SCREAMING_SNAKE_CASE    ):
															raise type_error
									for value in column:
															if not isinstance(__SCREAMING_SNAKE_CASE						,   (int, float)    ):
																					raise type_error
									if len(__SCREAMING_SNAKE_CASE    ) != self.num_rows:
															raise ValueError(
															    """Column must be equal in length to the other columns in the matrix"""    )
									if position is None:
															UpperCamelCase				:		List[Any]				   =			[self.rows[i] + [column[i]] for i in range(self.num_rows    )]
									else:
															UpperCamelCase				:		List[str]				   =			[
															    self.rows[i][0:position] + [column[i]] + self.rows[i][position:]
															    for i in range(self.num_rows    )
															]







			def __eq__(      self						,   _A    ):






									'''simple docstring'''







									if not isinstance(__SCREAMING_SNAKE_CASE						,   __SCREAMING_SNAKE_CASE    ):
															return NotImplemented
									return self.rows == other.rows







			def __ne__(      self						,   _A    ):






									'''simple docstring'''







									return not self == other







			def __neg__(      self    ):






									'''simple docstring'''







									return self * -1







			def __add__(      self						,   _A    ):






									'''simple docstring'''







									if self.order != other.order:
															raise ValueError("""Addition requires matrices of the same order"""    )
									return Matrix(
									    [
									        [self.rows[i][j] + other.rows[i][j] for j in range(self.num_columns    )]
									        for i in range(self.num_rows    )
									    ]    )







			def __sub__(      self						,   _A    ):






									'''simple docstring'''







									if self.order != other.order:
															raise ValueError("""Subtraction requires matrices of the same order"""    )
									return Matrix(
									    [
									        [self.rows[i][j] - other.rows[i][j] for j in range(self.num_columns    )]
									        for i in range(self.num_rows    )
									    ]    )







			def __mul__(      self						,   _A    ):






									'''simple docstring'''







									if isinstance(__SCREAMING_SNAKE_CASE						,   (int, float)    ):
															return Matrix(
															    [[int(element * other    ) for element in row] for row in self.rows]    )
									elif isinstance(__SCREAMING_SNAKE_CASE						,   __SCREAMING_SNAKE_CASE    ):
															if self.num_columns != other.num_rows:
																					raise ValueError(
																					    """The number of columns in the first matrix must """
																					    """be equal to the number of rows in the second"""    )
															return Matrix(
															    [
															        [Matrix.dot_product(__SCREAMING_SNAKE_CASE						,   __SCREAMING_SNAKE_CASE    ) for column in other.columns()]
															        for row in self.rows
															    ]    )
									else:
															raise TypeError(
															    """A Matrix can only be multiplied by an int, float, or another matrix"""    )







			def __pow__(      self						,   _A    ):






									'''simple docstring'''







									if not isinstance(__SCREAMING_SNAKE_CASE						,   __SCREAMING_SNAKE_CASE    ):
															raise TypeError("""A Matrix can only be raised to the power of an int"""    )
									if not self.is_square:
															raise ValueError("""Only square matrices can be raised to a power"""    )
									if other == 0:
															return self.identity()
									if other < 0:
															if self.is_invertable():
																					return self.inverse() ** (-other)
															raise ValueError(
															    """Only invertable matrices can be raised to a negative power"""    )
									UpperCamelCase				:		Dict				   =			self
									for _ in range(other - 1    ):
															result *= self
									return result







			@classmethod
			def   _a      (      cls						,   _A						,   _A    ):






									'''simple docstring'''







									return sum(row[i] * column[i] for i in range(len(__SCREAMING_SNAKE_CASE    )    )    )


if __name__ == "__main__":
		import doctest

		doctest.testmod()











"""simple docstring"""





def 	lowerCamelCase__			(				_lowerCamelCase			:						int = 10						,							_lowerCamelCase			:						int = 1000						,							_lowerCamelCase			:						bool = True					) ->							int:
  assert (
      isinstance(_lowerCamelCase						,							_lowerCamelCase					)
      and isinstance(_lowerCamelCase						,							_lowerCamelCase					)
      and isinstance(_lowerCamelCase						,							_lowerCamelCase					)
  ), "Invalid type of value(s) specified to function!"

  if min_val > max_val:
    raise ValueError('Invalid value for min_val or max_val (min_value < max_value)'					)
  return min_val if option else max_val







def 	lowerCamelCase__			(				_lowerCamelCase			:						int						,							_lowerCamelCase			:						int					) ->							int:
  return int((number_a + number_a) / 2					)







def 	lowerCamelCase__			(				_lowerCamelCase			:						int						,							_lowerCamelCase			:						int						,							_lowerCamelCase			:						int					) ->							None:
  assert (
      isinstance(_lowerCamelCase						,							_lowerCamelCase					) and isinstance(_lowerCamelCase						,							_lowerCamelCase					) and isinstance(_lowerCamelCase						,							_lowerCamelCase					)
  ), 'argument values must be type of "int"'

  if lower > higher:
    raise ValueError('argument value for lower and higher must be(lower > higher)'					)

  if not lower < to_guess < higher:
    raise ValueError(
        'guess value must be within the range of lower and higher value'					)

  def answer(_lowerCamelCase			:						int					) -> str:
    if number > to_guess:
      return "high"
    elif number < to_guess:
      return "low"
    else:
      return "same"

  print('started...'					)

  lowerCamelCase_       	=		lower
  lowerCamelCase_       	=		higher

  lowerCamelCase_       	=		[]

  while True:
    lowerCamelCase_       	=		get_avg(_lowerCamelCase						,							_lowerCamelCase					)
    last_numbers.append(_lowerCamelCase					)

    if answer(_lowerCamelCase					) == "low":
      lowerCamelCase_       	=		number
    elif answer(_lowerCamelCase					) == "high":
      lowerCamelCase_       	=		number
    else:
      break

  print(F'''guess the number : {last_numbers[-1]}'''					)
  print(F'''details : {last_numbers!s}'''					)







def 	lowerCamelCase__			(				) ->							None:
  lowerCamelCase_       	=		int(input('Enter lower value : '					).strip()					)
  lowerCamelCase_       	=		int(input('Enter high value : '					).strip()					)
  lowerCamelCase_       	=		int(input('Enter value to guess : '					).strip()					)
  guess_the_number(_lowerCamelCase						,							_lowerCamelCase						,							_lowerCamelCase					)


if __name__ == "__main__":
  main()




